Question

(a) 52 is 65% of what number?(b) What is 85% of 40?

Answer 1

A percentage is simply a fraction in terms of a hundred, i.e. we get the ratio in terms of a denominator of 100%.

a.

To get the value of the whole number to which 52 is 65% of, we have:

`\begin{gathered} (52)/(x)*100\text{ \%=65\%} \\ \text{ We multiply both sides by x to get} \\ 5200=65x \\ \text{ Divide both sides by 65 to get:} \\ x=(5200)/(65)=80 \end{gathered}`

52 is 65% of 80

b.

85% of 40 can be easily gotten as:

`(85)/(100)*40=34`

85% of 40 is 34